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Chapter 4: Q 182. (page 466)

Graphx+2y=6using the intercepts

Short Answer

Expert verified

The x-intercept is 6,0.

The y-intercept is 0,3.

Graph of function is

Step by step solution

01

Step 1. Definition 

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

02

Step 2. Calculating x-intercept 

To find x-intercept, let y=0

鈬�x+20=6

鈬�x=6

So, the x-intercept is6,0.

03

Step 3. Calculating y-intercept  

To find y-intercept, let x=0

鈬�0+2y=6

鈬�y=3

So, the y-intercept is 0,3.

04

Step 4. Graph of function 

The graph of given function using x-intercept and y-intercept is

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Most popular questions from this chapter

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located: 鈸� (鈭�4,1)鈸� (鈭�2,3)鈸� (2,鈭�5)鈸� (鈭�2,5) 鈸�(-3,52)

In the following exercises, which ordered pair are solutions to the given equation :

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(a)(0,-5)(b)(2,1)(c)12,-4

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In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

鈸� (鈭�2,鈭�3)鈸� (3,鈭�3)鈸� (鈭�4,1)鈸� (4,鈭�1)鈸�(32,1)

Which of the following ordered pairs are solutions to the equation4x-y=8?

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